



from __future__ import annotations

from random import random







class 				_a				:

			def __init__(self,   SCREAMING_SNAKE_CASE_ = None					)       ->   Optional[Any]:
						UpperCAmelCase_:		Optional[int]							      =     value
						UpperCAmelCase_:		Tuple							      =     random()
						UpperCAmelCase_:		Node | None							      =     None
						UpperCAmelCase_:		Node | None							      =     None

			def __repr__(self					)       ->   str:
						from pprint import pformat

						if self.left is None and self.right is None:
									return f'\'{self.value}: {self.prior:.5}\''
						else:
									return pformat(
									    {f'{self.value}: {self.prior:.5}': (self.left, self.right)},   indent=1					)

			def __str__(self					)       ->   str:
						UpperCAmelCase_:		List[str]							      =     str(self.value					) + """ """
						UpperCAmelCase_:		Union[str, Any]							      =     str(self.left or """"""					)
						UpperCAmelCase_:		Dict							      =     str(self.right or """"""					)
						return value + left + right







def  lowerCAmelCase_	(lowerCAmelCase__:		Node | None		,						lowerCAmelCase__:		int  ):





			"""simple docstring"""


			if root is None:  # None tree is split into 2 Nones
						return None, None
			elif root.value is None:
						return None, None
			else:
						if value < root.value:
									UpperCAmelCase_      ,							UpperCAmelCase_:		Optional[int]							      =     split(root.left		,						lowerCAmelCase__  )
									return left, root
						else:
									UpperCAmelCase_      ,							UpperCAmelCase_:		Optional[Any]							      =     split(root.right		,						lowerCAmelCase__  )
									return root, right







def  lowerCAmelCase_	(lowerCAmelCase__:		Node | None		,						lowerCAmelCase__:		Node | None  ):





			"""simple docstring"""


			if (not left) or (not right):  # If one node is None, return the other
						return left or right
			elif left.prior < right.prior:
						UpperCAmelCase_:		Any							      =     merge(left.right		,						lowerCAmelCase__  )
						return left
			else:
						UpperCAmelCase_:		Any							      =     merge(lowerCAmelCase__		,						right.left  )
						return right







def  lowerCAmelCase_	(lowerCAmelCase__:		Node | None		,						lowerCAmelCase__:		int  ):





			"""simple docstring"""


			UpperCAmelCase_:		Dict							      =     Node(lowerCAmelCase__  )
			UpperCAmelCase_      ,							UpperCAmelCase_:		List[Any]							      =     split(lowerCAmelCase__		,						lowerCAmelCase__  )
			return merge(merge(lowerCAmelCase__		,						lowerCAmelCase__  )		,						lowerCAmelCase__  )







def  lowerCAmelCase_	(lowerCAmelCase__:		Node | None		,						lowerCAmelCase__:		int  ):





			"""simple docstring"""


			UpperCAmelCase_      ,							UpperCAmelCase_:		int							      =     split(lowerCAmelCase__		,						value - 1  )
			UpperCAmelCase_      ,							UpperCAmelCase_:		str							      =     split(lowerCAmelCase__		,						lowerCAmelCase__  )
			return merge(lowerCAmelCase__		,						lowerCAmelCase__  )







def  lowerCAmelCase_	(lowerCAmelCase__:		Node | None  ):





			"""simple docstring"""


			if not root:  # None
						return
			else:
						inorder(root.left  )
						print(root.value		,						end=""","""  )
						inorder(root.right  )







def  lowerCAmelCase_	(lowerCAmelCase__:		Node | None		,						lowerCAmelCase__:		str  ):





			"""simple docstring"""


			for arg in args.split():
						if arg[0] == "+":
									UpperCAmelCase_:		Dict							      =     insert(lowerCAmelCase__		,						int(arg[1:]  )  )

						elif arg[0] == "-":
									UpperCAmelCase_:		Optional[int]							      =     erase(lowerCAmelCase__		,						int(arg[1:]  )  )

						else:
									print("""Unknown command"""  )

			return root







def  lowerCAmelCase_	():





			"""simple docstring"""


			UpperCAmelCase_:		List[Any]							      =     None
			print(
			    """enter numbers to create a tree, + value to add value into treap, """
			    """- value to erase all nodes with value. 'q' to quit. """  )

			UpperCAmelCase_:		int							      =     input()
			while args != "q":
						UpperCAmelCase_:		int							      =     interact_treap(lowerCAmelCase__		,						lowerCAmelCase__  )
						print(lowerCAmelCase__  )
						UpperCAmelCase_:		List[Any]							      =     input()

			print("""good by!"""  )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()











from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_tokenizers_available, is_torch_available


a      :  Optional[Any]			     =			{
    'configuration_mvp': ['MVP_PRETRAINED_CONFIG_ARCHIVE_MAP', 'MvpConfig', 'MvpOnnxConfig'],
    'tokenization_mvp': ['MvpTokenizer'],
}

try:
	if not is_tokenizers_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	a      :  str			     =			['MvpTokenizerFast']

try:
	if not is_torch_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	a      :  Optional[Any]			     =			[
	    'MVP_PRETRAINED_MODEL_ARCHIVE_LIST',
	    'MvpForCausalLM',
	    'MvpForConditionalGeneration',
	    'MvpForQuestionAnswering',
	    'MvpForSequenceClassification',
	    'MvpModel',
	    'MvpPreTrainedModel',
	]

if TYPE_CHECKING:
	from .configuration_mvp import MVP_PRETRAINED_CONFIG_ARCHIVE_MAP, MvpConfig, MvpOnnxConfig
	from .tokenization_mvp import MvpTokenizer

	try:
		if not is_tokenizers_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .tokenization_mvp_fast import MvpTokenizerFast

	try:
		if not is_torch_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .modeling_mvp import (
		    MVP_PRETRAINED_MODEL_ARCHIVE_LIST,
		    MvpForCausalLM,
		    MvpForConditionalGeneration,
		    MvpForQuestionAnswering,
		    MvpForSequenceClassification,
		    MvpModel,
		    MvpPreTrainedModel,
		)

else:
	import sys

	a      :  Optional[Any]			     =			_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)






